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Archimedean Polyhedra

all archimedean solids
Archimedes, a scientist from Ancient Greece, discovered thirteen types of polyhedra, now called Archimedean solids, which are also referred to as semi-regular polyhedra.

Mathematical properties of the Platonic solids

One can specify the following mathematical characteristics in each of the five Platonic solids:

1. The radius of the sphere circumscribing the polyhedron;

2. The radius of the sphere inscribed in the polyhedron;

3. The surface area of the polyhedron;

4. The volume of the polyhedron.

Practical use of paper models

why needs paper nets

Quite often a question about a practical use of paper models pops up.  What is the point of paper modeling?

Polyhedra in nature

tetrahedron antimony sodium sulphate
In the natural environment, regular polyhedra can be found in the form of crystals (minerals). The form of the tetrahedron is transmitted by antimony sodium sulfate.

Polyhedron. What is it?

A polyhedron is a solid bounded by flat polygons, which are called faces. The sides of the faces are called edges, and their corners are called vertices. Depending on the number of faces one can specify a tetrahedron (4 faces), pentahedron (5 faces), etc. A polyhedron is considered to be convex if it is located on one side of the plane of each of its faces. A polyhedron is called regular if its faces are regular polygons (i.e., where all sides and angles are equal) and all polyhedral angles at the vertices are equal. There are five types of regular polyhedra: tetrahedron, cube (regular hexahedron), octahedron, dodecahedron, icosahedron. 

Polyhedra in architecture. Part 5

Polyhedra in architecture

Architects have used the elements of polyhedra in designing their constructions since ancient times. Nowadays this approach distinguishes buildings among thousands of others.

Divide the icosahedron (into parts)

Divide the icosahedron

Is it possible to make up an icosahedron using more simple polyhedra?

Divide the icosahedron

The star of hope

Bethlehem star

A star is an image of divine idea and will, due to them our Light and Universe were created and started to exist in Space.

Stellated octahedron - a challenging task

Stellated octahedron challenging task
This is a new, very unusual way to create a star octahedron model. The polyhedron itself was discovered in 1619 by the German mathematician and astronomer Johann Kepler.

Birdhouse

icosahedron birdhouse

Studio Artemy Lebedev (makes the design for the leading search engine Yandex) was proposed form of a birdhouse in the form of a polyhedron.

The correct polyhedron, the icosahedron, was chosen as the geometric shape.